Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888bb |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-2865080154816 = -1 · 26 · 310 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- -2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1857,-87068] |
[a1,a2,a3,a4,a6] |
j |
-15179306176/61408611 |
j-invariant |
L |
1.3265868593385 |
L(r)(E,1)/r! |
Ω |
0.33164699116013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129888d1 43296n1 |
Quadratic twists by: -4 -3 |